the following storage represents a storage shed , 20 ft by 20 ft, with 12 ft high walls its capped with a square pyramid 30 ft by 30 ft that adds additional 12 ft to its height: what is the volume occupied by the lower square part of the shed?

A STEM (Science, Technology, Engineering, and Mathematics) degree is awarded to students who have completed a program of study that is at least one year beyond a bachelor’s degree.

STEM degrees cover a wide range of topics, including mathematics, computer science, engineering, and other sciences. These degrees can provide a strong foundation for a career in a variety of industries, including technology, healthcare, and education.

When pursuing a STEM degree, students must complete a set of specific courses that are related to their chosen major. These courses may include mathematics, physics, chemistry, biology, computer science, engineering, and other related subjects. Additionally, students must also complete a certain number of hours of lab and/or research experiences. Depending on the degree program, students may also be required to complete an internship, apprenticeship, or other work experience.

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Answer:

$2470

Step-by-step explanation:

If a person is between one and seven days late paying tax, they are charged an extra 1% on the amount owed. If a person is over seven days paying tax, they are charged an extra 4% on the total amount owed ( including the extra 1% for being one to seven days late ). Calculate how much Amelia must pay if she owes $2375 and she pays it 10 days late.​

If Amelia owes $2375 and is 10 days late in paying her taxes, she will be charged an extra 4% on the total amount owed, which is $95. This is calculated by adding the 1% late fee for being 1 to 7 days late ($23.75) to the extra 4% late fee for being over 7 days late ($71.25) to get a total late fee of $95. Therefore, Amelia's total payment will be $2470.

So, in response to the above question, we can state that They gathered a total equation of s + 2s = 3s shells.

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical. For examples, in the equation 3x + 5 = 14, because equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The emblem and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

In the case where Anna gathered s shells and her brother gathered twice as many, the brother gathered 2s shells.

They gathered a total of s + 2s = 3s shells.

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A graph that represents the number of books made in 4 hours include the following: B. graph B.

In order to write a linear inequality to describe this situation, we would assign variables to the number of books and the number of hours respectively, and then translate the word problem into algebraic equation as follows:

Since this printer makes more than three (3) copies of book every hour, a linear inequality which models or represents this situation is given by:

y > 3x

When the number of hours, x = 4 hours, the number of books made can be calculated as follows;

y > 3x

y > 3(4)

y > 12.

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Answer:

Step-by-step explanation:

The meaning of the y-intercept of the given graph is the starting battery percentage of the tablet. In this case, the y-intercept is 30, which means that the tablet starts with 30 percent of battery remaining. As the x-axis represents time in hours, at the beginning, the tablet has not been in use yet, and it has a full charge of 30 percent. From the given graph, we can see that after 3 hours, the tablet's battery percentage drops to 0. Therefore, it can be concluded that the battery of the tablet does not last for more than 3 hours, and it has to be recharged after this time period.

So, the correct option that describes the meaning of the y-intercept in the context of the problem is "The tablet starts with 30 percent of battery remaining."

Step-by-step explanation:

Traffic sign painting cost

The cost of painting a circular traffic sign is $2,50 per sq foot. How much will it cost to paint the sign if its diameter is 36 in.

We can start by finding the area of the circular traffic sign, using the formula for the area of a circle:

A = πr^2

where A is the area of the circle, π is the mathematical constant pi (approximately 3.14), and r is the radius of the circle. We are given the diameter of the circle, which is 36 inches. The radius is half of the diameter, so we have:

r = 36/2 = 18 inches

We need to convert the radius from inches to feet, since the cost of painting is given per square foot. There are 12 inches in a foot, so:

r = 18/12 = 1.5 feet

Now we can find the area of the circle:

A = πr^2 = π(1.5)^2 ≈ 7.07 square feet

Finally, we can calculate the cost of painting the sign:

cost = $2.50/sq ft x 7.07 sq ft ≈ $17.68

Therefore, it will cost approximately $17.68 to paint the circular traffic sign

Answer:60

Step-by-step explanation:

8x+2x=10x

10*6=60

Answer:

60

Step-by-step explanation:

If x=6, and the equation is 8x + 2x =?, we can simply insert 6 into the equation:

Solving the parenthesis:

Therefore, the answer is 60.

Answer:

This pair of equations is solvable by substitution, as I can easily substitute for y because it is already isolated in both equations. After substituting for y, I will solve the equations to get the value of x and then substitute that x-value into the simpler of the two equations, y = x - 1. Once I have both the x-value and y-value, they will be put into a point (x,y).

y = 3x + 3

y = x - 1

x - 1 = 3x + 3

    x = 3x + 4

  -2x = 4

    x = -2

     y = x - 1

     y = ( -2 ) - 1

     y = -3

The final answer to the pair of inequalities is ( -2,-3 )

Step-by-step explanation:

y = 3x + 3

y = x - 1

"substitution" means we are defining one variable by an expression of the other variable and use this identity in one of the original equations.

in our case here the main work was already done (even twice) : y is defined as expressions in x.

we even have the luxury to pick which one and then to use it in the other.

it does not matter which one you pick, it will lead to the same result.

so, let's use the identity of equation 1 in equation 2 : we replace every occurrence of y by the defined identity

y = x - 1

turns into

3x + 3 = x - 1

now we subtract x from both sides

3x + 3 - x = x - 1 - x

2x + 3 = -1

now we subtract 3 from both sides

2x + 3 - 3 = -1 - 3

2x = -4

and finally we divide both sides by 2

2x/2 = -4/2

x = -2

this result we use now in one of the original equations to get y :

e.g.

y = x - 1

y = -2 - 1 = -3

so, the solution is (-2, -3)

The sequence of transformations proves these two figures' similarity is (b) Reflect ABCD across the x-axis, then dilate it by a scale factor of 2 centered at the origin.

From the question, we have the following parameters that can be used in our computation:

The figure

From the figure, we can see that

A'B'C'D' is twice ABCD in side lengths

This means that

(x, y) = (2x, 2y)

Also, ABCD is reflected across the x-axis to get A'B'C'D'

So, we have

(x, y) = (2x, -2y)

Hence, the transformation is (b)

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Answer:

The ladder reaches up to 23.2 feet up the side of the building and the angle of elevation is 78.7 degrees to the nearest tenth. To calculate these values, you can use the Pythagorean Theorem. Let x be the distance the ladder reaches up the wall, and let y be the distance from the base of the building to where the ladder is leaning against the wall. Then, the Pythagorean Theorem states that x2 + y2 = 252, or x2 = 252 - y2. Since y = 2, then x2 = 252 - 22 = 676. Solving for x gives us x = 26, so the ladder reaches up to 26 feet. To calculate the angle of elevation, we can use trigonometry. We know that the opposite side is 26 feet and the adjacent side is 2 feet, so by using the tangent function, we can calculate the angle of elevation as tan-1(26/2) = 78.7 degrees.

The value  0.875 mm in inches is  0.034448819

in one inch = 25.4  millimeters

so in  0.875mm = 0.975/25.4 inchs.

customs (character: in or ″) is the unit of length in the British Imperial and US systems of measurement.1/36yard or1/12

one leg. A word derived from the Roman uncia ("twelfth"), the inch is sometimes used to convert similar units in other measurement systems that are usually understood to be derived from the width of the human thumb. .

The standard for the exact length of one inch has historically varied, but since its adoption by international shipyards in the 1950s and his 1960s, the inch has been based on the metric system and defined exactly as 25.4 mm. increase.

Q- how to convert 0.875mm in inches?

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Answer:

3.14159265358979

Step-by-step explanation:

Answer:

25.62 grams of cocoa

Step-by-step explanation:

To find the number of grams of cocoa in Keith's chocolate bar, we need to multiply the weight of the chocolate bar in grams by the percentage of cocoa in decimal form.

First, we convert the percentage to a decimal by dividing it by 100:

42% = 42/100 = 0.42

Next, we multiply the weight of the chocolate bar by the percentage of cocoa:

0.42 x 61 = 25.62

Therefore, the chocolate bar contains 25.62 grams of cocoa, rounded to the nearest tenth.

Answer:

25.62

Step-by-step explanation:

42 / 100 × 61

= 0.42 × 61

= 25.62

We can convert the unit kg/m ³ to  g/cm³ by using the formula Kg/m³ = 10⁻³ g/cm³.

We are provided with the unit kg/m ³ that means Kilograms per meter cube.

We have to covert it into g/cm³.

Now, we know, from the standard conversion rates that one kilograms is equal to 1000 grams and one meter cube is roughly equal to 10⁶ centimeter cubes.

So, if we want to do the unit conversion, we should write,

= g/cm³

= 1000/1000000 g/cm³

Kg/m³ = 10⁻³ g/cm³.

Now, the above mentioned relation is our formula for the conversion of the two unit.

So, now we can write that, one kilograms per meter cube is equal to 10⁻³ grams per centimeter cubes.

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The complement of event E, E°, is {14, 15, 16, 17}. The probability of event E° is 1/3, as all outcomes in the sample space are equally likely, with a probability of 1/12.

E° is the complement of event E. It is the set of all outcomes that are not in event E and can be expressed as E° = {14, 15, 16, 17}.The probability of event E° is calculated by summing the probabilities of all outcomes in the event, P(E°) = P(14) + P(15) + P(16) + P(17). Since all outcomes in the sample space are equally likely, the probability of each outcome is 1/12. This means that the probability of event E° is calculated as follows:

P(E°) = 1/12 + 1/12 + 1/12 + 1/12 = 4/12 = 1/3.

Therefore, The complement of event E, E°, is {14, 15, 16, 17}. The probability of event E° is 1/3, as all outcomes in the sample space are equally likely, with a probability of 1/12.

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Yes, the two triangles are similar because they have equal angles.

Two objects are similar if they have the same shape, or if one has the same shape as the mirror image of the other. More precisely, one can be obtained from the other by uniformly scaling.

Two triangles are similar if their corresponding angles are equal and their corresponding sides are within the same ratio (or proportion). Similar triangles will have the same shape, but not necessarily the same size.

The missing side of the first triangle is 180-(111+24)

= 180-135

= 45°

The Missing angle of the second triangle is 180-(45+24) = 180-79

= 111°

This means that the corresponding angle of the triangle are equal and hence they are similar.

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Yes, the triangles are similar.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Therefore, similar triangle have the corresponding angles equal to each other and the corresponding sides as a ratio of each other.

Hence, If two triangles have two of their angles equal, the triangles are similar by AA(angles angles).

Hence, let's check if two angles are equal in the triangles as follows:

180 - 111 - 24 = 45 degrees.

Therefore, the triangles are similar.

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90, They are measuring the same, therefore m4 = 90. Four right angles are produced when two lines overlap to form single right position.

Two full lines or rays intersect at a same terminus to make an angle. The centroid of an angle is the point at which all points meet. Angle is derived from the Latin word angulus, which means "corner."

Right angles are created when two straight lines cross at a 90° angle or are identical to one another at the intersection. The sign stands for a right angle.

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Number of cards made from the sheet of paper is 243.

What is square?

Having four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. Each square form may be recognised by its equal sides and 90° inner angles. A square is a closed form with four equal sides and interior angles that are both 90 degrees. Numerous different qualities can be found in a square.

On the entire sheet of paper, 243 cards were created.

The sheet is described as being 324 cm 144 cm in size.

Measures 324 centimeters in length.

The sheet has a 144-cm width.

We need to determine how many cards with a 16 cm by 12 cm size can be produced from a single sheet of paper.

The paper's size is 324 144.

46656 sq. cm is the size of the paper's surface.

Now, one card is equal to 16 divided by 12.

Currently, the area of a single card is 192 square centimetres.

Hence, Number of cards made from the sheet of paper is 243.

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The expression "3x" with one term is called a monomial. In algebra, a term is a unit of an expression that can be separated by addition or subtraction.

A monomial is a type of polynomial expression that has only one term consisting of a coefficient and a variable or variables raised to a non-negative integer power. The expression "3x" is an example of a monomial, where "3" is the coefficient and "x" is the variable raised to the first power. Monomials can be multiplied together or combined using the rules of exponents, making them important in algebraic simplification and manipulation. Understanding the different types of expressions and terms is fundamental in mastering algebraic equations and solving problems.

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Answer: 62

Step-by-step explanation:

The result of multiplying the numbers 31 by 2 is 62.

When you multiply two numbers, you are essentially adding the first number to itself a certain number of times, determined by the second number.

In this case, when you multiply 31 by 2, you are adding 31 to itself two times:

31 + 31 = 62

Therefore, the result of multiplying 31 by 2 is 62.

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The value of volume of 8oz in ml is 236.588 ml

It is important to note that fluid ounces and milliliters are both units of volume, Converting 8oz to milliliters (ml) requires the use of a conversion factor, as these units measure different quantities.

One fluid ounce (oz) is equivalent to approximately 29.5735 milliliters. To convert 8oz to ml, we multiply 8 by this conversion factor:

8 oz * 29.5735 ml/oz = 236.588 ml

Therefore, 8oz is equivalent to approximately 236.588 milliliters.

In different systems of measurement, with fluid ounces being more commonly used in the United States and milliliters being the standard unit of volume in the metric system used in many other countries.

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We need at least 5 tosses to be certain that the probability of getting at least one 6 is greater than or equal to 1/2.

The probability of not getting a 6 on a solitary throw of a fair six-sided kick the bucket is 5/6. Subsequently, the probability of not getting a 6 on n throws is [tex](5/6)^n[/tex]. The probability of getting somewhere around one 6 in n throws is 1 - [tex](5/6)^n[/tex].

To view the quantity of throws expected as sure that the probability of getting somewhere around one 6 is more prominent than or equivalent to 1/2, we can set the probability equivalent to 1/2 and address for n:

1 - [tex](5/6)^n[/tex] = 1/2

[tex](5/6)^n[/tex] = 1/2

Taking the normal logarithm of the two sides, we get:

n ln(5/6) = ln(1/2)

n = ln(1/2)/ln(5/6) ≈ 4.807

Hence, we really want something like 5 throws to be sure that the probability of getting no less than one 6 is more prominent than or equivalent to 1/2.

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210 lbs is approximately equal to 95.2544 kg  ( rounded to four decimal places )

The conversion factor to convert lbs to kilogram is 0.453592

1 lbs = 0.453592 kg

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in kg = The mass in lbs × conversion factor

Substitute the values in the equation

1 lbs = 0.453592 kg

210 lbs = 210 × 0.453592

Multiply the numbers

= 95.2544 kg ( rounded to four decimal places )

Therefore, 210 lbs is 95.2544 kg

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George's average score is given as follows:

70.7%.

The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations.

The seven observations for this problem are given as follows:

76, 58, 90, 44, 81, 73, 73.

The sum of these seven observations is of:

76 + 58 + 90 + 44 + 81 + 73 + 73 = 495.

Hence the mean, representing the average score, is obtained as follows:

495/7 = 70.7%.

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A U.S. dollar bill is approximately 6.14 inches (15.6 cm) long, 2.61 inches (6.6 cm) wide, and 0.0043 inches (0.11 mm) thick.

A United States dollar bill is a rectangular piece of paper currency that is approximately 6.14 inches (15.6 cm) long, 2.61 inches (6.6 cm) wide, and 0.0043 inches (0.11 mm) thick. It is standardized by the U.S. government and has a green and black design featuring images of historical figures such as George Washington and Benjamin Franklin.

The front of the bill displays a portrait of a U.S. president, while the back showcases symbols and images related to U.S. history and culture. The U.S. dollar bill is the most widely used form of currency in the world and is accepted as a means of payment in many countries outside the United States.

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On converting the length , we get the that 150 meter is equivalent to 492.12 feet .

In order to convert the length of 150 meters to feet,

We use the conversion factor of 3.2808 feet per meter because we know that 1 meter is = 3.2808 feet ;

So , to convert "meter" to "feet" we simply multiply the number of meters by this conversion factor to get the equivalent distance in feet.

By using this method, we get:

⇒ 150 meters × 3.2808 feet/meter = 492.12 feet ;

Therefore, 150 meters is equivalent to 492.12 feet.

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Using the business strategy of horizontal integration, a firm will buy out or combine with another business in its sector at the same stage of development.

Obtaining access to new goods, technology, or distribution routes, enables the acquiring firm to boost its market share and competitiveness.

Simply put, horizontal integration refers to the purchase or merger of rival businesses operating in the same sector. The objective is to lessen competition and boost economies of scale, which can result in greater effectiveness and financial success.

In sectors like retail, where huge chains may buy smaller rivals to broaden their geographic reach or product offers, horizontal integration is frequent.

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The entry to record the services provided to patients with dental plan insurance but not yet billed is: Debit: Accounts Receivable - Dental Plan Insurance $760 ,Credit: Dental Services Revenue $760.

To prepare the adjusting entries on January 31 for Al Medina, D.D.S, we need to analyze the transactions and determine the amounts that need to be recorded as expenses, prepaid expenses, and accrued expenses. Based on the information given, the following adjusting entries are required:

To record the services provided to patients with dental plan insurance but not yet billed:

Debit: Accounts Receivable - Dental Plan Insurance $760

Credit: Dental Services Revenue $760

To record the utility expense incurred but not yet paid:

Debit: Utilities Expense $450

Credit: Utilities Payable $450

To record the depreciation expense for the dental equipment:

Debit: Depreciation Expense $400

Credit: Accumulated Depreciation - Dental Equipment $400

To record the interest expense on the note payable:

Debit: Interest Expense $500

Credit: Interest Payable $500

To record the portion of the malpractice insurance policy that has been used up in January:

Debit: Insurance Expense $2,000 ($24,000 ÷ 12 months)

Credit: Prepaid Insurance $2,000

To adjust the Supplies account for the supplies used up in January:

Debit: Supplies Expense $1,200 ($1,750 - $550)

Credit: Supplies $1,200

Therefore after posting these adjusting entries, the financial statements will reflect the correct balances in the accounts and the expenses and revenues for the month of January will be accurately reported.

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The mean price of the 11 cards, given the cost of the packets of cards would be $ 1. 06

To find the mean price of all 11 cards, first find the mean price of each card in the two packets.

Mean price in packet 1 :

= 11 / 9

= $ 1. 22

Mean price in packet 2:

= 2. 75 / 2

= $ 1. 375

The mean price of all 11 cards is:

= ( ( 1. 375 x 2 ) + ( 1. 22 x 9 ) ) / 11

= $ 1. 06

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The length of FN is given as follows:

5.83 units.

Suppose that we have two points with coordinates [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].

The shortest distance between them is given by the equation presented as follows:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

For a segment length, we obtain the distance between the two endpoints of the segment.

Hence the length of FN is obtained as follows:

FN = sqrt((1 - (-2))² + (2 - (-3))²)

FN = sqrt(34)

FN = 5.83 units.

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